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Finding the Fourth Proportional to 8,213.08, 11,343.50 and 5,984.92

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Solution

The fourth proportional to 8,213.08, 11,343.50 and 5,984.92 is: 8,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.08 : 11,343.50 = 5,984.92 : x
  2. Step 2: Convert to fraction form
    8,213.08/11,343.50 = 5,984.92/x
  3. Step 3: Cross multiply
    8,213.08x = 11,343.50 × 5,984.92
  4. Step 4: Simplify right side
    8,213.08x = 67,889,940.02
  5. Step 5: Solve for x
    x = 67,889,940.02/8,213.08
  6. Step 6: Final answer
    x = 8,266.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.